The number 6002
6002 is a composite number with 4 divisors. Its prime factorisation is 2 × 3001. Divisors (4): 1, 2, 3001, 6002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6002: a semiprime: 2 × 3001, the product of two primes.
- 2
6002 is composite. Its prime factorisation is
- 3
The divisors add up to 9006; without 6002 itself that is 3004, so 6002 is deficient (3004 is less than 6002). Euler's totient φ(6002) = 3000 numbers up to 6002 share no factor with it.
- 4
The digits of 6002 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6002 = 2 \times 3001 \]
6002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 9006 |
| Euler totient φ(n) | 3000 |
| Square | 36024004 |
| Cube | 216216072008 |
| Square root | 77.472576 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 41 |
| Scientific notation | 6.002 × |
6002 in other forms
| Form | Value |
|---|---|
| In words | six thousand and two |
| Binary (base 2) | 1011101110010 |
| Octal (base 8) | 13562 |
| Hexadecimal (base 16) | 1772 |
| Base 3 | 22020022 |
| As time | 6002 seconds = 1 h 40 min 2 s |
Is 6002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6002 ÷ 2 = 3001) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6002 a prime number?
No. 6002 = 2 × 3001, so it is divisible by 2.
What are the factors of 6002?
1, 2, 3001, 6002.
What is 6002 in binary?
1011101110010 (hexadecimal 1772, octal 13562).
What is the square root of 6002?
About 77.4726.
Is 6002 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 6002?
6002 is a semiprime: 2 × 3001, the product of two primes.